5A Puzzle Problems (20 minutes)
• Word problems, one or more variables
• Max-min problems not requiring calculus
• Problems found in "brain-teaser" type books
• Logic puzzles, including the use of Venn Diagrams
5B Areas, Perimeters, and Volumes
• Triangles - including Heron's formula and ability to use ideas of elementary
trigonometry to find certain lengths
• Trapezoids and parallelograms
• Circles, sectors of circles
• Volumes of familiar 3-dimensional objects
5C Counting and Probability
• Permutations, with and without replacement
• Combinations, with and without replacement
• Using the principle of inclusion, exclusion
• Using the binomial and multinomial expansions
• Nonnegative integer solutions to x1+x2+...+xn = b.
• Definition, simple applications of probability (when to multiply, when to add)
5D Variations of Problems appearing on the previous year’s AMC 12 (contest A)
5A Puzzle Problems (20 minutes)
• Word problems, one or more variables
• Max-min problems not requiring calculus
• Problems found in "brain-teaser" type books
• Logic puzzles, including the use of Venn Diagrams
5B Areas, Perimeters, and Volumes
• Triangles - including Heron's formula and ability to use ideas of elementary
trigonometry to find certain lengths
• Trapezoids and parallelograms
• Circles, sectors of circles
• Volumes of familiar 3-dimensional objects
5C Counting and Probability
• Permutations, with and without replacement
• Combinations, with and without replacement
• Using the principle of inclusion, exclusion
• Using the binomial and multinomial expansions
• Nonnegative integer solutions to x1+x2+...+xn = b.
• Definition, simple applications of probability (when to multiply, when to add)
5D Variations of Problems appearing on the previous year’s AMC 12 (contest A)